document.write( "Question 1021851: f(x)=x^4-ax^2\r
\n" ); document.write( "\n" ); document.write( "When a = 2, there is more than one critical point.
\n" ); document.write( "Considering the x-coordinates of the critical points, what is the value of the greatest x-coordinate, giving your answer to 2 decimal places? \n" ); document.write( "

Algebra.Com's Answer #637566 by robertb(5830) $\"\"$ $\"About$

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The critical points on the graph of the function are those where you can find local extrema (derivative either 0 or does not exist). Since the function is a polynomial, the derivative exists everywhere, and you only have to set the derivative equal to 0 to find the critical points.\r
\n" ); document.write( "\n" ); document.write( "For f(x) = $\"x%5E4+-+2x%5E2\"$ , y' = $\"4x%5E3+-+4x\"$ .\r
\n" ); document.write( "\n" ); document.write( "Setting y' to 0, we get x = -1,0,1.\r
\n" ); document.write( "\n" ); document.write( "You can now finish the solution. \n" ); document.write( "

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